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Finding the Fourth Proportional to 408,023.70, 612,121.95 and 123,690.90

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Solution

The fourth proportional to 408,023.70, 612,121.95 and 123,690.90 is: 185,562.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,023.70 : 612,121.95 = 123,690.90 : x
  2. Step 2: Convert to fraction form
    408,023.70/612,121.95 = 123,690.90/x
  3. Step 3: Cross multiply
    408,023.70x = 612,121.95 × 123,690.90
  4. Step 4: Simplify right side
    408,023.70x = 75,713,914,905.26
  5. Step 5: Solve for x
    x = 75,713,914,905.26/408,023.70
  6. Step 6: Final answer
    x = 185,562.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.